Solving Volterra's Population Model via Rational Christov Functions Collocation Method
الموضوعات : مجله بین المللی ریاضیات صنعتیK. Parand 1 , E. ‎Hajizadeh‎ 2 , A. Jahangiri 3 , S. Khaleqi 4
1 - Department of Computer Sciences, Faculty of Mathematical, Shahid Beheshti University, Tehran, Iran.
2 - Department of Computer Sciences, Faculty of Mathematical, Shahid Beheshti University, Tehran, Iran.
3 - Department of Computer Sciences, Salman Farsi University of Kazerun, Kazerun, Iran.
4 - Department of Computer Sciences, Faculty of Mathematical, Shahid Beheshti University, Tehran, Iran.
الکلمات المفتاحية: Volterra's Population Model, Collocation method, Rational Christov Functions, Nonlinear ODE,
ملخص المقالة :
The present study is an attempt to find a solution for Volterra's Population Model by utilizing Spectral methods based on Rational Christov functions. Volterra's model is a nonlinear integro-differential equation. First, the Volterra's Population Model is converted to a nonlinear ordinary differential equation (ODE), then researchers solve this equation (ODE). The accuracy of method is tested in terms of $RES$ error and compare the obtained results with some well-known results.The numerical results obtained show that the proposed method produces a convergent solution.
